Conceptions of Set and the Foundations of Mathematics

Erscheinungsjahr 2020
ISBN: 978-1-108-49782-4
Verlag: Cambridge University Press

Buch, Englisch, 252 Seiten, Format (B × H): 178 mm x 249 mm, Gewicht: 590 g

Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated. He shows that the conceptual landscape includes not only the naïve and iterative conceptions but also the limitation of size conception, the definite conception, the stratified conception and the graph conception. In addition, he presents a novel, minimalist account of the iterative conception which does not require the existence of a relation of metaphysical dependence between a set and its members. His book will be of interest to researchers and advanced students in logic and the philosophy of mathematics.

Autoren/Hrsg.

Incurvati, Luca

Inhaltsverzeichnis

1. Concepts and conceptions; 2. The iterative conception; 3. Challenges to the iterative conception; 4. The naïve conception; 5. The limitation of size conception; 6. The stratified conception; 7. The graph conception.

Über Autor(innen)

Incurvati, Luca
Luca Incurvati is Assistant Professor of Philosophy at the Universiteit van Amsterdam.